Karishman B. Solanki

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20222026

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6 papers · 1 filter

math.FA2026

Wiener type theorems for countable limits of quasi-Beurling algebras and maximizing results on weights

Prakash A. Dabhi, Karishman B. Solanki

We establish the vector-valued Wiener type theorems for countable projective and inductive limits of quasi-Banach algebras in a weighted setting for both finite and infinite dimens…

math.FA2025

Weighted inversion of vector valued Dirichlet series

Prakash A. Dabhi, Karishman B. Solanki

Let $Λ \subset [0, \infty)$ be an additive semigroup with $0 \in Λ$ , $ω$ be an admissible weight on $Λ$ , $A$ be a unital Banach algebra, and let $f (s) = \sum_{λ \in Λ} f_{λ} e^{- λ s}$ …

math.FA2025

Inverse-closedness of weighted Schur and BGS type quasi-Banach algebras

Prakash A. Dabhi, Karishman B. Solanki

We prove that the weighted quasi-Banach algebras of operator valued matrices satisfying Schur and Baskakov-Gohberg-Sjöstrand (BGS) conditions are inverse-closed in the Banach algeb…

math.FA2025

On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces

Divyang G. Bhimani, Karishman B. Solanki

We consider the space (weighted Fourier algebra) of Banach algebra valued functions $A^q_ω(Γ,\cX),$ which consists of all Fourier transforms of functions in $L^q_ω(G,\cX)$. Here $ω…

math.FA2022

Vector valued Beurling algebra analogues of Wiener's Theorem

Prakash A. Dabhi, Karishman B. Solanki

Let $0 < p \leq 1$ , $ω$ be a weight on $Z$ , and let $A$ be a unital Banach algebra. If $f$ is a continuous function from the unit circle $T$ to $A$ s…

math.FA2022

Symmetry and inverse-closedness of some $p$ -Beurling algebras

Prakash A. Dabhi, Karishman B. Solanki

Let $(G, d)$ be a metric space with the counting measure $μ$ satisfying some growth conditions. Let $ω (x, y) = (1 + d (x, y))^{δ}$ for some $0 < δ \leq 1$ . Let $0 < p \leq 1$ . Let $A_{p ω}$ …

Wiener type theorems for countable limits of quasi-Beurling algebras and maximizing results on weights

Weighted inversion of vector valued Dirichlet series

Inverse-closedness of weighted Schur and BGS type quasi-Banach algebras

On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces

Vector valued Beurling algebra analogues of Wiener's Theorem

Symmetry and inverse-closedness of some p-Beurling algebras

Symmetry and inverse-closedness of some $p$ -Beurling algebras